Venue Sala Riunioni (Dip. Matematica). Abstract…
Eventi
Neural networks for image understanding: methods, limitations, and new frontiers – Fabio Carrara (ISTI-CNR, Pisa)
Vision is natural and easy for living beings, while it is incredibly complex to be replicated in machines. In the last 40 years, a lot of work in Computer Vision has been spent trying to model and implement visual perception manually, with slow…
Large Data Solutions for Fractional Higher Order Nonlinear Equations. – Sandra Lucente (University of Bari)
Large Data Solutions for Fractional Higher Order Nonlinear Equations. Abstract: We consider a class of evolution equation involving fractional Laplacian and nonlinear polynomial term. We discuss global existence in the energy space, decay estimates…
Low-rank tensor methods for PDE-constrained optimization under uncertainty – Peter Benner (Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany)
We discuss optimization and control of unsteady partial differential equations (PDEs), where some coefficient of the PDE as well as the control may be uncertain. This may be due to the lack of knowledge about the exact physical parameters, like…
Optimal transport planning with a non linear cost – Guy Bouchitte’ (Universit\\’e de Toulon)
In optimal mass transport theory, many problems can be written in the Monge-Kantorovich form $$ \inf\{ \int_{X\times Y} c(x,y) \, d\gamma \ :\ \gamma\in \Pi(\mu,\ u)\}\ ,\eqno(1) $$ where $\mu,\ u$ are given probability measures on $X,Y$ and…
Intrinsic regular surfaces of low co-dimension in Heisenberg groups – Francesca Corni (Universita’ di Bologna)
In Heisenberg groups, and, more in general, in Carnot groups, equipped with their Carnot- Carathodory metric, the analogous of regular (Euclidean) surfaces of low co-dimensionkcan be consideredG-regular surfaces (H-regular ifG=Hn), i.e. level sets…
Supports of the Hitchin fibration on the reduced locus – Luca Migliorini (University of Bologna)
I’ll discuss some work in progress in collaboration with M.A. de Cataldo and J. Heinloth. Let $C$ be a nonsingular projective curve of genus $> 1$, and let $n$ and $d$ be two coprime integers. Given the moduli space $\mathcal{M}$ of stable Higgs…
Vector bundles on Fano threefolds and $K3$ surfaces – Arnaud Beauville (Université Côte d’Azur, Nice)
Let $X$ be a Fano threefold, and let $S$ be a smooth anticanonical surface (hence a $K3$) lying in $X$. Any moduli space of simple vector bundles on $S$ carries a holomorphic symplectic structure. Following an idea of Tyurin, I will show that in…
Classical and New Problems in Geometric Analysis – Mattia Fogagnolo (Università di Trento)
In the first part of the talk, we will review the classical Alexandrov Theorem, the Isoperimetric Inequality and the Willmore Inequality in Euclidean spaces, trying to highlight their mutual connections and to discuss how they can be proved through…
Configuration spaces of points on surfaces – Roberto Pagaria (SNS Pisa)
Titolo:Configuration spaces of points on surfaces Abstract: In this talk we will introduce the ordered and unordered configuration spaces of a manifold.Our aim is to give an overview of the main classical results and then we focus on theBettinumbers…